Information on Result #61671

There is no OA(854, 245, S8, 42), because the linear programming bound shows that M ≥ 1 057368 982503 016130 475324 671746 524898 024594 217471 847562 230647 826292 591859 696769 971793 300385 589822 887034 880000 / 172899 556177 026823 444056 708013 798026 259629 956649 908682 937547 > 854

Mode: Bound.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1No OOA(854, 245, S8, 2, 42) [i]Depth Reduction
2No OOA(854, 245, S8, 3, 42) [i]
3No (12, 54, 245)-net in base 8 [i]Extracting Embedded Orthogonal Array